Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19151615 | C2 | semidirect |
| 3. #19151608 | C2 | semidirect |
| 4. #19151606 | C2 | semidirect |
| 5. #19151580 | C2 | semidirect |
| 6. #19151571 | C2 | semidirect |
| 7. #421×C89 | C2 | semidirect |
| 15. C2×#13083573 | C4 | semidirect |
| 18. C2×Q8×D89 | C4 | semidirect |
| 147. C89 | #1796 | semidirect |
| 150. #421 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| #19151615 | 2 |
| #19151608 | 2 |
| #19151606 | 2 |
| #19151580 | 2 |
| #19151571 | 2 |
| #421×C89 | 2 |
| #1796 | 89 |